Iterative incomplete factorization methods
Some elements from linear alegbra -- Buleev methods and 'Grid' principles of incomplete factorization -- Matrix analysis of incomplete factorization methods -- Problems of theoretical background -- Examples of numerical experiments This book is devoted to numerical methods for solving sparse linear algebra systems of very large dimension which arise in the implementation of the mesh approximations of the partial differential equations. Incomplete factorization is the basis of the wide class of…
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- Full title :Iterative incomplete factorization methods / V.P. Ilʹin
Summary
Some elements from linear alegbra -- Buleev methods and 'Grid' principles of incomplete factorization -- Matrix analysis of incomplete factorization methods -- Problems of theoretical background -- Examples of numerical experiments
This book is devoted to numerical methods for solving sparse linear algebra systems of very large dimension which arise in the implementation of the mesh approximations of the partial differential equations. Incomplete factorization is the basis of the wide class of preconditioning interative processes with acceleration by conjugate gradients or the Chebyshev technique. Different kinds of explicit and implicit algorithms are considered. Theoretical grounds of correctness and estimates of the convergence velocity of iterations are presented. Together with the results of experimental investigations for the typical examples, this book is the first on systematic studying of the incomplete factorization methods
Edition Statements
- Publication Date:©1992
Publication Statements
- Publisher(s):World Scientific Pub. Co
- Place of Publication:Singapore
- Language:eng
- Publication Date:©1992
The Physical Object
- Description:1 Online-Ressource (x, 190 Seiten) : Illustrationen
Edition Identifiers
- ISBN:9810209967, 9789810209964, 9789814335881, 9814335886
- oclc:on1005227387
- Dewey Decimal:512
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